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Finding the Fourth Proportional to 30,581.82, 42,163.82 and 19,807.68

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Solution

The fourth proportional to 30,581.82, 42,163.82 and 19,807.68 is: 27,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.82 : 42,163.82 = 19,807.68 : x
  2. Step 2: Convert to fraction form
    30,581.82/42,163.82 = 19,807.68/x
  3. Step 3: Cross multiply
    30,581.82x = 42,163.82 × 19,807.68
  4. Step 4: Simplify right side
    30,581.82x = 835,167,454.14
  5. Step 5: Solve for x
    x = 835,167,454.14/30,581.82
  6. Step 6: Final answer
    x = 27,309.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.